Asymptotics of the partition function of a random matrix model.

From MaRDI portal
Publication:2574194

DOI10.5802/aif.2147zbMath1135.82016arXivmath-ph/0409082OpenAlexW1657963883MaRDI QIDQ2574194

Pavel M. Bleher, Alexander R. Its

Publication date: 18 November 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0409082




Related Items

On the probability of positive-definiteness in the gGUE via semi-classical Laguerre polynomialsRelating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomialsRank 1 real Wishart spiked modelLectures on Random Matrix ModelsLarge N Asymptotics in Random MatricesHarold Widom’s work in random matrix theorySpecial function solutions of Painlevé equations: theory, asymptotics and applicationsA Gaussian quadrature rule for oscillatory integrals on a bounded intervalExact solution of the six-vertex model with domain wall boundary conditions. Disordered phaseAsymptotics of the partition function of a Laguerre-type random matrix modelRational differential systems, loop equations, and application to the \(q\)th reductions of KPUniversality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equationPhase diagram and topological expansion in the complex quartic random matrix modelAsymptotic expansion of matrix models in the multi-cut regimeSome recent methods for establishing universality limitsAnalyticity of the planar limit of a matrix modelNonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomialsRandom matrices, graphical enumeration and the continuum limit of Toda latticesCircular unitary ensembles: parametric models and their asymptotic maximum likelihood estimatesUniversality limits in the bulk for varying measuresOn connected diagrams and cumulants of Erdős-Rényi matrix modelsTopological expansion in the complex cubic log-gas model: one-cut casePainlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weightAn efficient method for computing genus expansions and counting numbers in the Hermitian matrix modelAsymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularitiesRandom matrix model with external source and a constrained vector equilibrium problemPhase transitions and equilibrium measures in random matrix modelsAsymptotics for the partition function in two-cut random matrix modelsThe asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weightsUniversality of the double scaling limit in random matrix modelsMultiple scale asymptotics of map enumeration



Cites Work